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Finding the Fourth Proportional to 2,251.16, 3,376.98 and 952.46

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Solution

The fourth proportional to 2,251.16, 3,376.98 and 952.46 is: 1,428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.16 : 3,376.98 = 952.46 : x
  2. Step 2: Convert to fraction form
    2,251.16/3,376.98 = 952.46/x
  3. Step 3: Cross multiply
    2,251.16x = 3,376.98 × 952.46
  4. Step 4: Simplify right side
    2,251.16x = 3,216,438.37
  5. Step 5: Solve for x
    x = 3,216,438.37/2,251.16
  6. Step 6: Final answer
    x = 1,428.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.